The letters A, B, C, D, and E are to be placed in the grid so that each of these letters appears exactly once in each row and exactly once in each column. Which letter will go in the square marked with * ?
\begin{array}{|c|c|c|c|c|}
\hline \mathrm{A} & & & & \mathrm{E} \\
\hline & & \mathrm{C} & \mathrm{A} & \\
\hline \mathrm{E} & & \mathrm{B} & \mathrm{C} & \\
\hline & * & & & \\
\hline \mathrm{B} & & & \mathrm{D} & \\
\hline
\end{array}
Answer Choices
A. A
B. B
C. C
D. D
E. E